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Finding the Third Proportional to 1,356,616,800 and 2,938,606,160

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Solution

The third proportional to 1,356,616,800 and 2,938,606,160 is: 6,365,398,219.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356,616,800 : 2,938,606,160 = 2,938,606,160 : x
  2. Step 2: Convert to fraction form
    1,356,616,800/2,938,606,160 = 2,938,606,160/x
  3. Step 3: Cross multiply
    1,356,616,800x = 2,938,606,160 × 2,938,606,160
  4. Step 4: Simplify right side
    1,356,616,800x = 8,635,406,163,589,945,344
  5. Step 5: Solve for x
    x = 8,635,406,163,589,945,344/1,356,616,800
  6. Step 6: Final answer
    x = 6,365,398,219.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.